Question

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y, equals, 28, left parenthesis, 0, point, 9, 7, right parenthesis, to the power x
y=28(0.97)
x

Answer 1

Since the base 0.97 is less than 1, this is exponential decay.

Rate of change = 0.97 − 1 = −0.03 → a 3% decrease per unit increase in x (i.e., 3% decay).